(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let u = (1,2), v = (3,1) and T: [tex]R^{2}\rightarrow R[/tex] be a linear transformation such that T(u)= 4 and T(v)= 5. What is T(-3, 4)? (Hint: Write (-3,4) as a linear combination of u and v.)

2. Relevant equations

T(x)= b

3. The attempt at a solution

I don't really know where to start. I know I have to write (-3,4) as a linear combination of u and v, but what do I do from there?

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# Homework Help: Linear Transformations hints

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